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COMPGEOM
2006
ACM
14 years 4 months ago
Degenerate crossing numbers
János Pach, Géza Tóth
DCG
2008
93views more  DCG 2008»
13 years 11 months ago
Odd Crossing Number and Crossing Number Are Not the Same
The crossing number of a graph is the minimum number of edge intersections in a plane drawing of a graph, where each intersection is counted separately. If instead we count the nu...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
GD
2007
Springer
14 years 5 months ago
Crossing Numbers and Parameterized Complexity
The odd crossing number of G is the smallest number of pairs of edges that cross an odd number of times in any drawing of G. We show that there always is a drawing realizing the o...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
GD
2005
Springer
14 years 4 months ago
Odd Crossing Number Is Not Crossing Number
The crossing number of a graph is the minimum number of edge intersections in a plane drawing of a graph, where each intersection is counted separately. If instead we count the nu...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
ALGORITHMICA
2011
13 years 6 months ago
Crossing Number and Weighted Crossing Number of Near-Planar Graphs
A nonplanar graph G is near-planar if it contains an edge e such that G−e is planar. The problem of determining the crossing number of a near-planar graph is exhibited from diffe...
Sergio Cabello, Bojan Mohar